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Finding the Fourth Proportional to 520,096.90, 780,147.78 and 220,502.20

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Solution

The fourth proportional to 520,096.90, 780,147.78 and 220,502.20 is: 330,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.90 : 780,147.78 = 220,502.20 : x
  2. Step 2: Convert to fraction form
    520,096.90/780,147.78 = 220,502.20/x
  3. Step 3: Cross multiply
    520,096.90x = 780,147.78 × 220,502.20
  4. Step 4: Simplify right side
    520,096.90x = 172,024,301,815.12
  5. Step 5: Solve for x
    x = 172,024,301,815.12/520,096.90
  6. Step 6: Final answer
    x = 330,754.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.